PLEASE HELP I NEED THIS RIGHT NOW!!
Two pools are being filled with water. To start, the first pool had 972 liters of water and the second pool was empty. Water is being added to the first pool at a rate of 17 liters per minute. Water is being added to the second pool at a rate of 44 liters per minute.
Let x be the number of minutes water has been added.

Answer:

[tex]3(a^2+2a)[/tex]

Step-by-step explanation:

[tex]\sqrt{3a}(\sqrt{12a}+a\sqrt{3a}) \\ \\ =\sqrt{36a^2}+a\sqrt{9a^2} \\ \\ =6a+a(3a) \\ \\ =3a^2+6a \\ \\ =3(a^2+2a)[/tex]

By using simultaneous linear equation, it can be calculated that-

Number of children are 118 and number of adults are 363

What is simultaneous linear equation?

At first it is important to know about linear equation

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A one degree equation is known as linear equation.

Two or more linear equations, which can be solved together to obtain common solution are known as simultaneous linear equation.

Here, a simultaneous linear equation needs to be solved

Let the number of children be x and number of adults be y

481 people used the public swimming pool.

x + y = 481 ..... (1)

The daily prices are $1.75 for children and $2.00 for adults.
Total price = $(1.75x + 2y)

By the problem,

1.75x + 2y = 932.50

7x  + 8y = 3730 .... (2)

Multiplying (1) by 7

7x + 7y = 3367.... (3)

Subtracting (3) from (2)

y = 363

Putting the value of y in (1)

x  + 363  = 481

x = 481 - 363

x = 118

Number of children are 118 and number of adults are 363

To learn more about simultaneous linear equation, refer to the link:

https://brainly.com/question/26310043

#SPJ1

The answer to this Question is (5^7)*(x^7/5), the question is based on exponents laws

What are exponent laws?

These are some basic laws in maths that helps us to simplify the complicated expressions easily

Solution:

Here we can first distribute the power 7 to both 5 and 5th root of x by exponent laws

we get 5^7 * 5th root(x)^7

now we know nth root(x) = x ^1/n

we will do the same as

we get 5^7 * x^7/5 which is our required answer and there many more properties of exponents that we study in higher classes

To learn more about exponent laws :

https://brainly.com/question/28966438

#SPJ1

Answer:

see explanation

Step-by-step explanation:

By the Factor theorem, if (x - a) is a factor of f(x) then f(a) = 0

if (r - 4) is a factor then substituting r = 4 into the polynomial should result in it having a value of zero, that is

6[tex]r^{4}[/tex] - 17r³ - 46r² + 77r - 20 ( substitute r = 4 )

= 6[tex](4)^{4}[/tex] - 17(4)³ - 46(4)² + 77(4) - 20

= 6(256) - 17(64) - 46(16) + 308 - 20

= 1536 - 1088 - 736 + 288

= 0

Then (r - 4) is a factor of the polynomial

Answer:

Use Pyramid Formua to get upper height.

And add with 5m lower height.

If the ratio of the measure of the three sides of the triangle is 9:7:5 and the perimeter is 191.1 inches, then the three sides of the triangle are 81.9 inches, 63.7 inches and 45.5 inches

The ratio of the measure of the three sides of a triangle = 9 : 7 : 5

Then three sides of the triangles = 9x, 7x and 5x

Where x is the constant

The  perimeter of the triangle = 191.1

The perimeter of the triangle is the sum of the three sides of the triangle

Then the equation will be

9x + 7x + 5x = 191.1

21x = 191.1

x = 191.1 / 21

x = 9.1

The first side = 9x

= 9 × 9.1

= 81.9 inches

The second side = 7x

= 7 × 9.1

= 63.7 inches

The third side = 5x

= 5 × 9.1

= 45.5 inches

Therefore, the measure of the sides of the triangle is 81.9 inches, 63.7 inches and 45.5 inches

I have solved the question in general, as the given question is incomplete

The complete question is:

The ratio of the measures of the three sides of a triangle is 9:7:5. Its perimeter is 191.1 inches. Find the measure of each side.

Learn more about perimeter here

brainly.com/question/29507476

#SPJ4

For the expression -34 < x < 10, interval notation, builder notation and graphical solution is shown below.

A number line is a line on which numbers are pointed at some intervals, it is used to show numerical operations.

The given expression is -34 < x < 10

The interval notation of the expression -34 < x < 10 is given as,

x ∈ (-34, 10)

The builder notation of the expression -34 < x < 10 can be given as,

{x |  -34 < x < 10}

The graphical solution of the expression -34 < x < 10 is given below.

To know more about Number line on:

https://brainly.com/question/27114736

#SPJ1

109 dollars in her savings account is greater than  -21 dollars in her checking account, that is 109 > -21.  When comparing values that may not be equal that is, when one value is bigger or less than another inequalities are utilised.

To learn more about inequalities refer :

https://brainly.com/question/24372553

#SPJ1

The value of x is 69°.

What is a quadrilateral?

A closed quadrilateral has four sides, four vertices, and four angles. It is a form of polygon. In order to create it, four non-collinear points are joined.

Given that ABCD is a quadrilateral.

The diagonal AC divides the quadrilateral into 2 triangles △ABC and △ACD.

The length of sides AC and CB of the △ABC is same. Thus △ABC is isosceles triangle. Therefore ∠BAC = ∠ABC = x°.

Similarly, the length of sides AC and CD of the △ADC is same. Thus △ADC is isosceles triangle. Therefore ∠CAD = ∠CDA = 66°

Given that ∠DCB = 90°.

∠A = ∠CAD + ∠BAC = 66° + x°

The sum of all interior angle of a quadrilateral is 360°.

Therefore,

∠A + ∠B + ∠C + ∠D = 360°

66° + x° + x° + 90° + 66° = 360°

Add to the like terms:

222 + 2x = 360

Subtract 222 from both sides:

2x = 138

x = 69

To learn more about sum of all angle of quadrilateral, click on below link:

https://brainly.com/question/11207450

#SPJ1

The graph cannot be proportional because y stays the same

From the question, we have the following parameters that can be used in our computation:

The graph

On the graph, we can see that:

As x increases, the values of y remains unchanged

For the graph to be proportional, it must be a straight line that passes through the origin

And the variables must change

Hence, the true statement is the graph cannot be proportional

Read more about proportional relationship at

https://brainly.com/question/14425347

#SPJ1

Answer:

Explanation: Its D.

The fish's position with respect to the water's surface at 4:00 p.m. is 3/4.

What is a fraction?

Any number of equal parts is represented by a fraction, which also means a portion of a whole. A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.

Here, we have

Based on the given conditions, formulate: 3 1/4 - 2 1/2

Remove the parentheses: 3 + 1/4 - 2 - 1/2

Reorder and combine like terms: (3-2)+1/4 - 1/2

Calculate the sum or difference: 1+ 1/4 - 1/2

Expand the fraction to get the least common denominator: 4/(1×4) + 1/4 - 2/(2×2)

Calculate the product or quotient: 4+1/4 - 2/(2×2)

Calculate the product or quotient: 4 + 1/4 - 2/4

Write the numerators over the common denominator: 4 + 1 -2/4

Calculate the sum or difference: 5 - 2/4

Calculate the sum or difference: 3/4

Hence, the fish's position with respect to the water's surface at 4:00 p.m. is 3/4.

To learn more about the fraction from the given link

https://brainly.com/question/17220365

#SPJ1

Answer: 60

Step-by-step explanation:

3 / 100 * x = 15

3x = 1500 multiply both sides by 100

x = 500

500x0.12 = 60

The 12 percentage of the number is A = 60

A percentage is a number or ratio expressed as a fraction of 100. It is often denoted using the percent sign, %

The difference between an exact value and an approximation to it is the approximation error in a data value. Either an absolute error or a relative error might be used to describe this error.

Percentage change is the difference between the measured value and the true value , as a percentage of the true value

Percentage change =( (| Measured Value - True Value |) / True Value ) x 100

Given data ,

Let's call the number we're looking for N

We can set up an equation based on the information given:

0.03N = 15

To solve for N, we can divide both sides by 0.03:

N = 15 / 0.03

N = 500

So the number we're looking for is 500

Now , the percentage value is = 12 %

And , we can find 12% of that number by multiplying it by 0.12:

A = 0.12 x 500 = 60

Hence , 12% of the number is 60.

To learn more about percentage click :

https://brainly.com/question/12861068

#SPJ2

The equations that represent the line are:

B. 2x + 3y = –3

D. y + 3= –2/3(x – 3)

E. y – 1 = –2/3(x+3)

An equation that represents a line whose slope is given as m, and it intercepts the y-axis at b, is expressed in slope-intercept form as y = mx + b.

To find the equation of the given line above, pick two points on the line, (0, -1) and (-3, 1) and find the slope (m):

Slope of the line (m) = change in y / change in x = (1 - (-1)) / (-3 - 0)

Slope of the line (m) = 2 / -3

Slope of the line (m) = -2/3.

The line intercepts the y-axis at -1. This means the y-intercept of the line is b = -1.

To write the equation of the line, substitute m = -2/3 and b = -1 into y = mx + b:

y = -2/3x - 1

It can be rewritten as 2x + 3y = –3 in standard form, or as y + 3= –2/3(x – 3) or y – 1 = –2/3(x+3) in point-slope form.

Therefore the answers are:

B. 2x + 3y = –3

D. y + 3= –2/3(x – 3)

E. y – 1 = –2/3(x+3)

Learn more about the equation of a line on:

https://brainly.com/question/25969846

#SPJ1

The solution of the given equation is x = 12. The solution is the value, that satisfies the given equation.

Given equation is 5(x - 1) + 3x = 7(x + 1)

On simplifying the equation, we get

5(x - 1) + 3x = 7(x + 1) ⇒ 5x - 5 + 3x = 7x + 7

⇒ 8x - 5 = 7x + 7

⇒ 8x - 7x = 7 + 5

⇒ x = 12

Therefore, the solution for the given equation is x = 12.

Here, the power or the degree of the variable x is 1 in the given equation. Thus, it has only one solution.

Learn more about an equation and its solutions here:

https://brainly.com/question/28871321

#SPJ4

Answer:2 to 4 pounds per

Step-by-step explanation:

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

4x + 4 ≤ 9x + 84x + 4 ≤ 9x + 8

84x ≤ 4

x ≤ 1/21

x ≤ 0.05

Thus,

The value of x is less than or equal to 0.05.

x ≤ 0.05

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

4x + 4 ≤ 9x + 84x + 4 ≤ 9x + 8

Adding the like terms.

4x + 4 ≤ 93x + 4 ≤ 9x + 8

Subtracting 4 on all sides.

4x  ≤ 93x ≤ 9x + 4

Subtracting 4x on all sides.

0 ≤ 93x - 4x ≤ 5x + 4

We can write it as,

89x ≤ 5x + 4

89x - 5x ≤ 4

84x ≤ 4

x ≤ 4/84

x ≤ 1/21

x ≤ 0.05

Thus,

The value of x is less than or equal to 0.05.

x ≤ 0.05

Learn more about inequalities here:

https://brainly.com/question/20383699

#SPJ1

Answer:

C

Step-by-step explanation:

If you draw multiple vertical lines through each graph, C is the only graph that touches the line once. Which means it passes the vertical line test.

Step-by-step explanation:

????????????........

The required value of n for two similar pentagons is 15/4.

The scale factor is a type of measurement which is used to increase or decrease the size of an object keeping its shape as the same. It can be determined by taking the ratio of the new and the original dimension of the object.

The given two pentagons have similar shape because one has been scaled to get the other.

It implies that the ratio of the corresponding sides for them will be equal. It can be written as follows,

5/n = 3(¹/₃)/2(¹/₂)

=> 5/n = (10/3)/(5/2)

=> 5/n = 20/15

=> n = 15/20 × 5

=> n = 15/4

Hence, the value of n for the given pentagon is 15/4.

To know more about scale factor click on,

https://brainly.com/question/29464385

#SPJ1

The correct option is c. It is a solution to f(x) = g(x) because it is the x-coordinate where the two graphs intersect.

x = −1 is also a solution to f(x) = g(x) because it is asking for the values of x that make f(x) equal to g(x). In this case, x = −1 is a value that makes both f(x) and g(x) equal to −1, so it is a solution to the equation f(x) = g(x).

The graph of f(x) = g(x) is simply the set of all points that are on both the graph of f(x) and the graph of g(x)

These points are the points where the two graphs intersect. In this case, the graph of f(x) = g(x) is a single point at x = −1, which is the x-coordinate where the two graphs intersect

Learn more about graph of functions on:

https://brainly.com/question/24335034

#SPJ1

since we know that PQ and PR are twin sides, well, the angle they each make at the base are also twin angles, Check the picture below.

Answer:

Center: (0,0)

Radius: 3

Graph:

Please find attachment to view the graph.

Step-by-step explanation:

Please give the brainliest.

The solution of the given system of equation is (6, 12). So the option c is correct.

In the given question, Carissa works as a babysitter during her summer vacation.

She gets paid one rate for daytime hours and a higher rate for nighttime hours.

One week, she worked 12 daytime hours and 4 nighttime hours and earned $120.

The next week, she earned $60 for a total of 4 daytime hours and 3 nighttime hours.

Let x represent the hourly daytime rate and y represent her hourly nighttime rate.

The system of equations is

12 x + 4 y = 120……………(1)

4 x + 3 y = 60……………(2)

We have to find the solution to the system of equations.

To find the solution for the system of equation we solve the given equation using elimination method.

Multiply equation by 3 on both sides, we get;

12x + 9y = 180

Subtract equation 3 and 1

12x+9y-(12x+4y)=180-120

12x+9y-12x-4y=60

5y=60

Divide by 5 on both side, we get;

y=12

Now putting the value of y in equation 2

4x+3×12=60

4x+36=60

Subtract 36 on both side, we get

4x=24

Divide by 4 on both side, we get

x=6

Hence, the solution of the given system of equation is (6, 12). So the option c is correct.

To learn more about solution of system of equation link is here

brainly.com/question/9351049

#SPJ4

Answer:  (6, 12)

Step-by-step explanation: did edge test

a) The vertex of the problem is given as follows: (220, -583), meaning that the minimum depth reached by the vertex is of 583 after 220 hours.

b) The submarine was submerged for 440.1 hours.

The quadratic function in this problem is defined as follows:

d(t) = 0.012t² - 5.29t.

Which gives the depth of the submarine after t hours.

The coefficients of the equation are given as follows:

a = 0.012, b = -5.29.

Then the t-coordinate of the vertex is given as follows:

t = -b/2a = 5.29/(2(0.012)) = 220.

The minimum depth is then of:

d(220) = 0.012(220)² - 5.29(220) = -583.

This is a concave up parabola, which is the reason why the vertex is a minimum.

The roots of the function are given as follows:

0.012t² - 5.29t = 0

t(0.012t - 5.29) = 0.

Hence:

Meaning that the submarine was submerged for 440.1 hours.

More can be learned about quadratic functions at https://brainly.com/question/24737967

#SPJ1

5% of $1100 = 55

Year given = 7

So, 55 × 7 = 385

She would get after 7 years all total  = (1100 + 385) = $1485

The option that best describe the transformation is

A point, line, or geometric figure can be transformed in one of four ways, each of which affects the shape and/or location of the object.

Pre-Image refers to the object's initial shape, and Image, after transformation, refers to the object's ultimate shape and location.

the transformation is the problem is reflection which is equivalent to 180 degree rotation hence we say it is a certain angle rotation of point about the circle's center.

Learn more about transformation at:

https://brainly.com/question/4289712

#SPJ1

Yes, Gabby is correct. Lake city is warmer at 8F  than Ellenville.

Temperature is defined as the sum of the kinetic energies of all the atoms or molecules in a substance. The kinetic energy of a substance's constituent particles varies. A distribution can be used to depict the particles' kinetic energy at any particular moment.

Temperature is measured in Fahrenheit, Celsius and Kelvin.

As minus sign with the temperature depicts cold and hot and it have to do nothing with the calculation. The correct way is 14-6 = 8f. So Gabby is correct. We will not consider minus sign with six in calculations.

To learn more about the temperature visit the link:

https://brainly.com/question/25677592

#SPJ1

one leg of a right triangle is 6 inches longer than the other leg, and the hypotenuse is 30 inches. Thus,

The lengths of the legs of the triangle are 18 inches,24 inches and  30 inches.

Three vertices make up a triangle, a three-sided polygon. The angles of the triangle are formed by the connection of the three sides end to end at a point. The triangle's three angles add up to 180 degrees in total.

Given that,

one leg of a right triangle is 6 inches longer than the other leg.

hypotenuse is 30 inches.

Let assume, the other leg be x

It is given that, one leg of a right triangle is 6 inches longer than the other leg. So, One leg = x + 6

Since it is a right angled triangle,

h² = p² + b²

Where, h = hypotenuse

p = perpendicular

B = Base

So, (30)² = (x+6)² + x²

or, x = -24, 18

As, the length of side cannot be negative so x becomes 18.

Thus, x + 6 = 18 + 6 = 24 inches

Hypotenuse = 30 inches

Hence, the lengths of the legs of the triangle are 18 inches, 24 inches and  30 inches.

To know more about right triangle refer to:

https://brainly.com/question/29869536

#SPJ4